# Coefficient data for embedded newform 690.3.g.a.461.19, downloaded from the LMFDB on 24 April 2024. {"label": "690.3.g.a.461.19", "an_normalized": [[1.0, 0.0], [0.0, -0.7071067811865476], [-0.9722286364177238, -0.23403307144361749], [-0.5, 0.0], [0.0, -0.4472135954999579], [-0.16548637183969767, 0.6874694616747229], [-1.2183256862718586, 0.0], [0.0, 0.3535533905932738], [0.8904570429413333, 0.45506730785255994], [-0.31622776601683794, 0.0], [0.0, 1.0224119611177898], [0.4861143182088619, 0.11701653572180874], [1.4133053317196609, 0.0], [0.0, 0.8614863544565855], [-0.10466277134619871, 0.4347938641403916], [0.25, 0.0], [0.0, -0.04709230371876327], [0.32178117927885136, -0.6296482134191375], [0.6973243236670382, 0.0], [0.0, 0.22360679774997896], [1.1844911206767768, 0.2851285023768562], [0.7229544308726259, 0.0], [0.0, -0.20851441405707477], [0.08274318591984883, -0.34373473083736145], [-0.2, 0.0], [0.0, -0.9993577839460752], [-0.7592270368770981, -0.6508258649399403], 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